Random walk in a stratified independent random environment

Abstract : We study Markov chains on a lattice in a codimension-one stratified independent random environment, exploiting results established in [2]. First of all the random walk is transient in dimension at least three. Focusing on dimension two, both recurrence and transience can happen, but transience remains by far the most general situation. We identify the critical scale of the local drift along the strata corresponding to the frontier between the two regimes.
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https://hal-upec-upem.archives-ouvertes.fr/hal-01922157
Contributor : Julien Brémont <>
Submitted on : Wednesday, November 14, 2018 - 12:42:47 PM
Last modification on : Wednesday, September 4, 2019 - 1:52:04 PM
Long-term archiving on : Friday, February 15, 2019 - 2:02:06 PM

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  • HAL Id : hal-01922157, version 1
  • ARXIV : 1811.07562

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Julien Brémont. Random walk in a stratified independent random environment. 2018. ⟨hal-01922157v1⟩

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